Question

In: Statistics and Probability

13. A researcher claims that the average age of a woman when she has her first...

13. A researcher claims that the average age of a woman when she has her first child is still equal to the 1993 mean of 27.1 years. She obtains a random sample of 30 women who had their first child this year and finds the sample mean age to be 28.2 years. Suppose the population standard deviation is 6.4 years. Test the researcher’s claim using α = 0.10.

  1. State and label the null and alternate hypotheses.

  2. State the critical value(s) for this test and draw a picture of the critical region(s).

  3. Find the value of the test statistic.

  4. Find the P-value for this test.

  5. Find an appropriate confidence interval to use to test this hypothesis. State the confidence level used.

  6. State your conclusion of this hypothesis test, citing reasons from all three methods. Be sure to explain your conclusion in the context of the problem.

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

13. A researcher claims that the average age of a woman when she has her first...
13. A researcher claims that the average age of a woman when she has her first child is still equal to the 1993 mean of 27.1 years. She obtains a random sample of 30 women who had their first child this year and finds the sample mean age to be 28.2 years. Suppose the population standard deviation is 6.4 years. Test the researcher’s claim using α = 0.10. State and label the null and alternate hypotheses. (2 points) State the...
A store owner claims the average age of her customers is 32 years. She took a...
A store owner claims the average age of her customers is 32 years. She took a survey of 34 randomly selected customers and found the average age to be 35.7 years with a standard error of 1.631. Carry out a hypothesis test to determine if her claim is valid. (a) Which hypotheses should be tested? H0: μ = 35.7 vs. Ha: μ ≠ 35.7 H0: μ = 32 vs. Ha: μ ≠ 32     H0: μ = 32 vs. Ha: μ...
A store owner claims the average age of her customers is 30 years. She took a...
A store owner claims the average age of her customers is 30 years. She took a survey of 33 randomly selected customers and found the average age to be 32.8 years with a standard error of 1.821. Carry out a hypothesis test to determine if her claim is valid. (a) Which hypotheses should be tested? H0: p = 30 vs. Ha: p ≠ 30 H0: μ = 30 vs. Ha: μ ≠ 30     H0: μ = 30 vs. Ha: μ...
A researcher new to the Tucson area was shocked when she received her first summer electric...
A researcher new to the Tucson area was shocked when she received her first summer electric bill. She believes that energy bills vary dramatically depending on where you live in the United States and sets out to test her claim. She samples 36 people from the Northeast, 100 people from the Southeast, 81 people from the Midwest, and 200 people from the West. She finds the following average annual energy bills from each region: Northeast: $1,159.26 Southeast: $1,202.51 Midwest: $1,300.04...
There is a woman, she is married, but her husband abandoned her. It has been a...
There is a woman, she is married, but her husband abandoned her. It has been a year but never divorced. They have two children. She has a job, she lives with her parents during work, her parents There is a big house, her parents didn’t charge her any rent, and most of her money is spent on food and children. Question 1: will she qualify for a household Question 2: preparing her tax return what should you say to her?...
Annie starts to save for her retirement right after she gets her first job at age...
Annie starts to save for her retirement right after she gets her first job at age 22. For twenty years, she puts $8,000 a year in her 401k and earns 10% for her investment. When she is 42, she stops making contribution but does not make any withdrawal until she retires at 65. How much would she have when she retired? Annie’s sister, Amy, started her 401k when she is 40 years old and she wants to have the same...
First, find the case involving McDonald's and a woman who served when she was burned when...
First, find the case involving McDonald's and a woman who served when she was burned when she spilled coffee on herself. What were the arguments that McDonald's should pay damages and what were her damages. Part 2 is to find another case where you feel the lawsuit could result in positive changes.
A woman aged 28 years is in labour when she suddenly collapses. This is her fourth...
A woman aged 28 years is in labour when she suddenly collapses. This is her fourth pregnancy and she has had three previous spontaneous vaginal deliveries at term. This pregnancy has been uncomplicated and she has been admitted with contractions at 37 weeks and 6 days. On arrival on the labour ward the fetus was palpated to be normal size, cephalic and 3/5 palpable abdominally. The cervix was 3 cm dilated and the membranes were intact. Blood pressure and urinalysis...
A pregnant woman has come to you for counseling.  She is in her late forties and this...
A pregnant woman has come to you for counseling.  She is in her late forties and this is her first pregnancy. She has had a difficult pregnancy and is very worried about having a miscarriage. She has come to you to determine whether her child will be born with Down Syndrome.   a. Explain what test or tests you would suggest that could answer her question, b. Explain to her why you would recommend this test. c. What results would you expect...
Let x = age in years of a rural Quebec woman at the time of her first marriage. In the year 1941
  Let x = age in years of a rural Quebec woman at the time of her first marriage. In the year 1941, the population variance of x was approximately σ2 = 5.1. Suppose a recent study of age at first marriage for a random sample of 31 women in rural Quebec gave a sample variance s2 = 3.0. Use a 5% level of significance to test the claim that the current variance is less than 5.1. Find a 90% confidence...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT